Michael spaces and ultrafilters

DOI10.1016/j.topol.2024.108858arXiv2310.02749OpenAlexW4391775399MaRDI QIDQ6150399

Arturo Martínez-Celis

Publication date: 6 March 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.02749

zbMATH Keywords

Baire spacecardinal invariantsultrafilterLindelöf spaceMichael space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Applications of set theory (03E75) Cardinal characteristics of the continuum (03E17)

Cites Work

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• Cofinalities of countable ultraproducts: The existence theorem
• Near coherence of filters. I: Cofinal equivalence of models of arithmetic
• Countable ultraproducts without CH
• Open problems in topology.
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• Generic existence of ultrafilters on the natural numbers
• Combinatorial Cardinal Characteristics of the Continuum
• On the Generic Existence of Special Ultrafilters
• The Product of a Lindelof Space with the Space of Irrationals Under Martin's Axiom
• Groupwise density cannot be much bigger than the unbounded number
• Consistency results about filters and the number of inequivalent growth types
• Combinatorics on ideals and forcing
• On the existence of P-points in the Stone-Čech compactification of integers
• The Rudin-Blass ordering of ultrafilters
• Some of the combinatorics related to Michael’s problem
• On the cofinality of ultrapowers
• The product of a normal space and a metric space need not be normal

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